**Correct Option: A. Mass is the amount of matter in an object, while weight is the gravitational force acting on that mass.** ### Detailed Explanation: 1. **Understanding Mass:** - Mass is a measure of the amount of matter in an object. It is a scalar quantity, which means it has magnitude but no direction. The standard unit of mass in the International System of Units (SI) is the kilogram (kg). - Mass is an intrinsic property of an object; it does not change regardless of the object's location in the universe. For example, a 5 kg object on Earth has the same mass as a 5 kg object on the Moon or in space. 2. **Understanding Weight:** - Weight, on the other hand, is the force exerted on an object due to gravity. It is a vector quantity, meaning it has both magnitude and direction (the direction is towards the center of the gravitational body, like Earth). - The formula for weight (W) is given by: \[ W = m \cdot g \] where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth). - Weight is measured in newtons (N) in the SI system. For example, an object with a mass of 5 kg would weigh approximately: \[ W = 5 \, \text{kg} \cdot 9.81 \, \text{m/s}^2 = 49.05 \, \text{N} \] 3. **Why Option A is Correct:** - Option A correctly states that mass is the amount of matter in an object, while weight is the gravitational force acting on that mass. This distinction is fundamental in physics and helps to understand how objects behave under different gravitational conditions. ### Analysis of Other Options: - **Option B: Mass is dependent on location, while weight remains constant regardless of where the object is.** - This option is incorrect because mass does not depend on location; it remains constant regardless of where the object is located. Weight, however, does depend on location because the acceleration due to gravity varies (for example, it is less on the Moon than on Earth). - **Option C: Weight is measured in kilograms, while mass is measured in newtons.** - This option is incorrect because it confuses the units of mass and weight. Mass is measured in kilograms (kg), while weight is measured in newtons (N). This is a common misconception, but it is crucial to remember the correct units. - **Option D: Mass can change with temperature, while weight does not vary with temperature changes.** - This option is misleading. Mass does not change with temperature under normal conditions; it is a constant property of matter. Weight can change with temperature indirectly if the change in temperature affects the state of matter (e.g., expansion or contraction), but this is not a direct relationship. ### Summary of Key Points: - Mass is the amount of matter in an object and is measured in kilograms (kg). - Weight is the gravitational force acting on that mass and is measured in newtons (N). - Mass remains constant regardless of location, while weight can vary depending on the gravitational field strength. - Understanding the distinction between mass and weight is essential for solving problems in physics related to forces and motion.